118 lines
3.0 KiB
C#
118 lines
3.0 KiB
C#
//
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// Copyright 2012 Hakan Kjellerstrand
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// http://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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using System;
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using Google.OrTools.ConstraintSolver;
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public class CoinsGrid
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{
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/**
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*
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* Solves the Coins Grid problm.
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* See http://www.hakank.org/google_or_tools/coins_grid.py
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*
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*/
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private static void Solve(int n = 31, int c = 14)
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{
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Solver solver = new Solver("CoinsGrid");
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//
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// Decision variables
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//
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IntVar[,] x = solver.MakeIntVarMatrix(n, n, 0, 1, "x");
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IntVar[] x_flat = x.Flatten();
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//
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// Constraints
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//
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// sum row/columns == c
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for (int i = 0; i < n; i++)
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{
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IntVar[] row = new IntVar[n];
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IntVar[] col = new IntVar[n];
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for (int j = 0; j < n; j++)
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{
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row[j] = x[i, j];
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col[j] = x[j, i];
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}
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solver.Add(row.Sum() == c);
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solver.Add(col.Sum() == c);
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}
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// quadratic horizonal distance
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IntVar[] obj_tmp = new IntVar[n * n];
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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obj_tmp[i * n + j] = (x[i, j] * (i - j) * (i - j)).Var();
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}
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}
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IntVar obj_var = obj_tmp.Sum().Var();
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//
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// Objective
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//
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OptimizeVar obj = obj_var.Minimize(1);
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//
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// Search
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//
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DecisionBuilder db = solver.MakePhase(x_flat, Solver.CHOOSE_FIRST_UNBOUND, Solver.ASSIGN_MAX_VALUE);
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solver.NewSearch(db, obj);
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while (solver.NextSolution())
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{
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Console.WriteLine("obj: " + obj_var.Value());
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for (int i = 0; i < n; i++)
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{
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for (int j = 0; j < n; j++)
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{
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Console.Write(x[i, j].Value() + " ");
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}
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Console.WriteLine();
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}
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Console.WriteLine();
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}
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Console.WriteLine("\nSolutions: {0}", solver.Solutions());
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Console.WriteLine("WallTime: {0}ms", solver.WallTime());
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Console.WriteLine("Failures: {0}", solver.Failures());
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Console.WriteLine("Branches: {0} ", solver.Branches());
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solver.EndSearch();
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}
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public static void Main(String[] args)
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{
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int n = 31;
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int c = 14;
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if (args.Length > 0)
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{
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n = Convert.ToInt32(args[0]);
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}
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if (args.Length > 1)
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{
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c = Convert.ToInt32(args[1]);
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}
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Solve(n, c);
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}
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}
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